Triangles ABC and XYZ are shown below. A student knows that AX and 2cm 22. The student claims that AABC is similar to AXYZ
Determine whether each statement below can be used as part of a justification for the claim that ABC is similar to AXYZ Select Yes or No for each statement.
Yes No
AC
A dilation of AABC by scale factor k =
through center results in A4'B'C where A'C = XZ
Triangle A'B'C, which results from a dilation of ABC such that A'c = XZ, is congruent to AXY2 by Angie-Side-Angle (ASA) O
There exists a sequence of rigid transformations and dilations that carries A4BC to AXYZ, so it follows that AABC is similar to AXYZ OO
Answers
sorry i couldn't answer tho
Related Questions
find the product 538 x 100=
Answers
Therefore the product is 53,800.
Answer:
Answer=53,800
Step-by-step explanation:
just add the two zero behind the number
Question 3(Multiple Choice Worth 1 points)
(05.02 MC)
Solve the system of equations using substitution.
4x + 2y = 6
x = 2y + 4
(1, 1)
(2,-1)
(8,2)
(10,3)
Answers
Answer:
(2,-1)
Step-by-step explanation:
We can use substitution to solve this system of equations. Since x is already solved for in the second equation, we can substitute 2y + 4 for x in the first equation:
4(2y + 4) + 2y = 6
Simplifying the left side:
8y + 16 + 2y = 6
Combining like terms:
10y + 16 = 6
Subtracting 16 from both sides:
10y = -10
Dividing both sides by 10:
y = -1
Now that we know y, we can use the second equation to find x:
x = 2y + 4
x = 2(-1) + 4
x = 2
Therefore, the solution to the system of equations is (x, y) = (2, -1).
The correct answer choice is (2, -1).
Use trigonometric identities to solve the trigonometric equation sin(2∅)-cos(∅)=0 for 0≤∅≤2π. You must show all of your work analytically.
Answers
Step-by-step explanation:
sin(2x) = 2sin(x)cos(x)
2sin(x)cos(x) - cos(x) = 0
so one solution is cos(x) = 0.
=> x = pi/2 and 3pi/2 (90° and 270°)
for cos(x) <> 0 we have then
2sin(x) - 1 = 0
2sin(x) = 1
sin(x) = 1/2
=> x = pi/6 and 5pi/6 (30° and 150°)
In how many ways can we write a number using the digits (0,2,3,5) and the number is greater than 100
Answers
This is a multiplicative principle's question. Let's think how we can solve that.
If we want numbers are greater than 1000, so we need numbers with 4 digit (for example: 1001, 2350 and so on).
Imagine that we need to complete four spaces: one thousands, hundreds, tens and ones. See below how to compelete each space:
One thousands: In this space, we can't use the number 0, because in this way, the number will have 3 digits and we want number with 4 digits (for example: 0235 is a 3 digits number). Therefore, we can use the numbers 2, 3 and 5 to complete this space. So, there are 3 possibilities.Hundreds: Now, we can use the number 0 and the number won't have 3 digits (for example: 2035 is a 4 digits number). Therefore, we can use the numbers 0, 2, 3 and 5 to complete this space. So, there are 4 possibililities.Tens: Ih this case, it happens the same thing that happen in the case of hundreds. Therefore, there are 4 possibilites.Ones: Finally, in this case it also happens the same thing that happen in the case os hundreds. So, there are 4 possibilites.For multiplicative principle, we just need multiply these numbers of possibilities to find the result of this question:
\(3\times4\times4\times4=192\)
Therefore, we can write 192 numbers using the digits (0, 2, 3 and 5) and all these numbers are greater than 1000.
The
of-6 is 6, because it is 6 units from zero on
the number line.
Answers
Answer:
Solution in photo
Step-by-step explanation:
Generating Equivalent Expressions
Simplify the expression
by applying the distributive property & combining like terms.
Show work.
6(x + 4y) + 3x - 20y
Answers
Answer:
9x +4y
Step-by-step explanation:
step 1 : parentheses are priorities
so multiple the 6 to the parentheses
6x + 24y +3x -20y
combine the x's together
6x +3x + 24y -20y
9x + 4 y
Answer:
\(9x + 4y\)
Step-by-step explanation:
1) Expand by distributing term.
\(6x + 24y + 3x - 20y\)
2) Collect like terms.
\((6x + 3x) + (24y - 20y)\)
3) Simplify.
\(9x + 4y\)
Hence, the answer is 9x + 4y.
Provide the reasons for the following proof.
The figure shows triangle W X Y with a segment X Z drawn from vertex X to point Z on side W Y.
Given: Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y
Prove: triangle W X Z is congruent to triangle Y X Z
Statements Reasons
1.Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y 1. Given.
2. angle W X Z is congruent to angle Y X Z 2. Definition of an angle bisector.
3. Segment X Z is congruent to segment X Z. 3. _____________
4. triangle W X Z is congruent to triangle Y X Z 4. _____________
A. Reflexive Property of congruent to; SSS
B. Symmetric Property of congruent to; SSS
C. Reflexive Property of congruent to; SAS
D. Symmetric Property of congruent to; SAS
SOMEONE HELP! PLEASE!
Answers
The two column proof showing that ΔWXZ ≅ ΔYXZ is as shown below
From the given triangle, we see that;
Given: WX ≅ XY, XZ bisects WXY
Prove: ΔWXZ ≅ ΔYXZ
The two column proof for the above is as follows;
Statement 1; WX ≅ XY, XZ bisects 2
Reason 1; Given
Statement 2: ∠WXZ ≅ YXZ
Reason 2; Angle bisector
Statement 3; XZ ≅ XZ
Reason 3: Reflexive property of congruence
Statement 4: ΔWXZ ≅ ΔYXZ
Reason 4: SAS Congruence Postulate
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Mrs. Galicia is creating a bunny farm. The farm starts with 300 bunnies and is growing at a rate of 15.25% per month. How many months will it take for the farm to double in size? *must solve using log/ln method* * DO NOT round/estimate during calculation steps* * Round your final answer, t, to 4-decimal places*
Answers
6.55 months? i dont know for sure but i tried
It is reported that dog bites are somewhat common among tourists who visit Thailand due to the stray dog population. One study showed that 13 out of 1000 tourists get bit by a dog. On average, the percentage of tourists who have been bit by a dog that get rabies is around 15%. Ninety-nine percent of tourists who do not get bit by a dog will not get rabies.
1. Define the two events in this problem.
A=
B=
2. Using proper probability notation, identify the following values:
a. 0.013 =
b. 0.15 =
c. 0.99 =
3. Create and upload an image of a hypothetical two-way table for this scenario.
4. Create and upload an image of a tree diagram for this scenario.
5. Using either your table or tree, calculate the probability that a randomly selected tourist will end up getting rabies. Upload a picture of your work and place your final answer (rounded to three decimal places) in the blank provided. Include proper probability notation in the work that you upload.
6. Using either your table or tree, calculate the probability that a tourist who does not get rabies then gets bit by a dog. Upload a picture of your work and place your final answer (rounded to three decimal places) in the blank provided. Include proper probability notation in the work that you upload.
Answers
Answer:
Step-by-step explanation:
Hello!
Tourists that visit Thailand are exposed to being bitten by a stray dog.
People that get bitten by a stray dog are at risk of getting rabies.
1) So you can determine two possible events that may happen:
A: The tourist got bitten by a stray dog.
B: The tourist got rabies.
2)
a.
"13 out of 1000 tourists get bit by a dog"
P(A)= 0.013
b.
"The percentage of tourists who have been bitten by a dog that get rabies is 15%" i.e. Given that the tourist was bitten by a dog, he got rabies. This is a conditional probability, is the probability of "B" given that "A" has already happened:
P(B|A)= 0.15
c.
"Ninety-nine percent of tourists who do not get bit by a dog will not get rabies."
The event "The tourist did not get bitten by a dog" is complementary to "A", so I'll symbolize it as: \(A^c\)
The event "The tourist did not get rabies" is complementary to the event "B", so I'll symbolize it as \(B^c\)
\(P(B^c|A^c)= 0.99\)
3) See attachment for table
P(A)= 0.013 ⇒ P(\(A^c\))= 1 - 0.013= 0.987
P(A∩B)= P(B|A)*P(A)= 0.15*0.013= 0.00195 = 0.002
P(A∩\(B^c\))= P(A) - P(A∩B)= 0.013-0.00195= 0.01105 = 0.011
\(P(B^c|A^c)= 0.99\)
P(\(B^c\)∩\(A^c\))= P(\(A^c\)) * \(P(B^c|A^c)\)= 0.987*0.99= 0.977
P(\(B^c\))= P(A∩\(B^c\)) + P(\(B^c\)∩\(A^c\))= 0.011 + 0.977= 0.988
P(B∩\(A^c\))= P(\(A^c\)) - P(\(B^c\)∩\(A^c\))= 0.987 - 0.977= 0.01
5) P(B)= P(A∩B) + P(B∩\(A^c\))= 0.002 + 0.01= 0.012
4) Attch
6)
P(A|\(B^c\))= P(A∩\(B^c\)) = 0.011 = 0.0111
P(\(B^c\)) 0.988
I hope this helps!
HELP ME PLEASE!!! answer 1, 5, and 6. It’s similar figures and drawing scales. It’s due so please!!!! I am begging it’s this third time I’m asking. I am going to cryyy
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Decide whether the rates are equivalent. Maria saves $50 in 4 months.
Ralph saves $60 in 5 months
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Answer:
The rates are not equivalent since Maria saves $0.50 more per month than Ralph.
Step-by-step explanation:
We can determine if two rates are equivalent by comparing the rates at which they save per month.
Maria's savings per month:
Both 50 and 4 can be divided by 2, which gives us 25/2. As a regular number, this becomes 12.5/1 which means Maria saves $12.5 per month.
Ralph's savings per month:
Both 60 and 5 can be divided by 5, which gives us 12. Thus, Ralph saves $12 per month.
Thus, the rates are not equivalent as Maria saves $0.50 more per month than Ralph.
2 1/3 + 5 1/4
Addition of the fraction above
Answers
f (x) = 2 x + 5 and three-halves are inverse functions of each other and StartFraction 41 Over 8 EndFraction,
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The inverse of the function → f(x) = 2x + 5 is → f⁻¹(x) = (x/2) - (5/2).
What is the procedure to find inverse of function ?Inverse of a function can be calculated by following the steps mentioned below -
Step 1 - Replace {y} with {x} and vice - versa.Step 2 - Rewrite the equation by solving for {y}.Step 3 - Replace {y} with f⁻¹(x).According to the question, the equation given is as follows
y = f(x) = 2x + 5
y = 2x + 5
Replace 'y' with 'x', we get -
x = 2y + 5
Now, solve for y -
2y = x - 5
y = (x/2) - (5/2)
Replace 'y' with f⁻¹(x) -
f⁻¹(x) = (x/2) - (5/2)
Hence, the inverse of the function → f(x) = 2x + 5 is → f⁻¹(x) = (x/2) - (5/2).
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Write an equation in slope-intercept form (-5,-7);y=-2x+4
Answers
Answer:
Step-by-step explanation:
First, let us substitute x and y values: -7 = -2(-5) + 4
Next, let us simplify using the substitution property of equality: 14 = -7 (SEE BELOW MORE INFO).
Now, this does not make sense yet because 14 cannot possibly equal -7. Therefore, we must add a b value, therefore leading us to the equation:
14 + b = -7
by simplifying, we can conclude that b = -21
Finally, we can plug in the b-value into our original equation:
y = -2x + 4 - 21
After simplifying, we get y = -2x - 17. When this is graphed, we can see that -2x - 17 intersects (-5, -7).
For each equation, determine whether it is linear.
(a) y=x-6
(b) y= 4x
(C) y= 3x2-4
(d) y=-x)
Answers
Answer:
b
Step-by-step explanation:
Is (9,5) a solution to this system of inequalities?
X + y > 14
7x + 13y > 15
yes
no
Answers
Answer:
yes it is..............
what is the sum of six hundred seven and two thousand, three hundred ninety three
Answers
Answer:
3000
Step-by-step explanation:
Convert them into numbers: 607 + 2393 = 3000.
Answer:
The answer is
→ 3,000 is the sum.
Step-by-step explanation:
Were being asked what is the sum of six hundred seven and two thousand, three hundred ninety three/607 and 2,393
Well if it's asking us for the sum, then we fore SURE have to use addition.
\(607+2,393=3,000\)
Therefore, 3,000 is your answer to this question.
Hope this helped! :^)
24:10 simplified Ratio HELP
Answers
Answer:
12:5 is the simplified ratio. Couldn't answer before but here lol
FAST HELPPPPPPP
The point at which three or more lines intersect is the point of
A.equality.
B.concurrency.
C.parallelism.
D.tangency.
Answers
Answer:
B.concurrency.
Step-by-step explanation:
Three or more lines when met at a single point are said to be concurrent and the point of intersection is point of concurrency.
12 is 2% of 24 true or false
Answers
Answer:
false
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
12 is half of 24.
half is the same as 1/2 and the same as 0.5 and the same as 50%.
12 is 50% of 24.
12 is not 2% of 24.
Answer: false
Joyce paid $120.00 for an item at the store that was 50 percent off the original price. What was the original price?
Answers
Answer:
234
Step-by-step explanation:
Which verb form correctly completes this sentence?
No estoy convencido de que ellos ___________ lo que significa esta fiesta.
A.
comprenden
B.
comprendemos
C.
comprendan
D.
comprendes
Answers
Maya earns $28000 a year. one week she grossed $658. she had sold
$1673.19 worth of merchandise. what is the rate of her commission?(
round to nearest hundreth)
Answers
Her commission rate is 7.44%
The parameters given are;
The amount Mary earns annually = $28,000
The amount Mary grossed during a week = $658.0.
The amount Mary had sold during the week to make the amount grossed during the week = $1673.19
Given that Mary makes $28,000 per year
Therefore;
The amount Mary earns per week = Amount earned per year/52
The amount Mary earns per week = $28,000/52 = $538.46
The amount extra she made on commission = $658.00- $538.46= $119.54
The commission rate = Commission earned/(Amount of merchandise sold)×100
The commission rate = 119.54/1673.19 × 100 = 7.14%
Her commission rate = 7.44%
2. Explain how to calculate 8% of 350 by first calculating 1% of 350.
Answers
Answer:
28
Step-by-step explanation:
So 1% of 350 would be 3.5 because 350 divided by 100 is 3.5. You then get 3.5 and multiply it 8 times, which would be 28. (You multiply it 8 times because 8% is 8 times 1%.)
Answer:
this is hard i think its is 28
Step-by-step explanation:
because i put 128 and got it correct
The map shows an obstacle course at a school fair. The units are given in yards.
What is the total distance of
the obstacle course?
? yards
Start
(-40, -10)
Tire
Race
(-40, -30)
Finish
(10, 20)
Monkey
Bars
(40,20)
Rope
Climb
(40,-30)
Answers
The total distance of the obstacle course can be calculated by finding the distance between each pair of consecutive points and adding them up. The distance between two points (x1, y1) and (x2, y2) can be calculated using the formula: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2).
Using this formula, we can calculate the distances between each pair of consecutive points as follows:
Start to Tire Race: distance = sqrt((-40 - (-40))^2 + (-30 - (-10))^2) = 20 yards
Tire Race to Rope Climb: distance = sqrt((40 - (-40))^2 + (-30 - (-30))^2) = 80 yards
Rope Climb to Monkey Bars: distance = sqrt((40 - 40)^2 + (20 - (-30))^2) = 50 yards
Monkey Bars to Finish: distance = sqrt((10 - 40)^2 + (20 - 20)^2) = 30 yards
Adding up all these distances, we get a total distance of 20 + 80 + 50 + 30 = 180 yards for the obstacle course.
Select all that apply
Answers
Answer: integer and rational
Step-by-step explanation:
Please answer immediately I beg.
A pyramid and a cone have the same base area and height. The volume
of the pyramid is 175m³. What is the volume of the one? Explain your answer.
Answers
The volume of cone is 175 m³
Firstly,
Volume of Pyramid.
The volume (V) of a pyramid is
V = ⅓Ah
Data:
V = 175m³
Calculation:
175 = ⅓× A× h
Ah = 175*3
Ah = 525m³
Secondly,
The volume (V) of a cone is
V = ⅓Ah
Data:
Ah = 525 m³
Calculation:
V = ⅓ A× h
V = 175 m³
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7. Which of the following graphs would represent the solution set for y ≤ 5?
Answers
explanation:
the inequality sign the y is less than or equal to 5 which means the line will be solid not dashed and the line will be placed at y=5 with everything shaded beneath it because it’s less than or equal to
2 3/4 of 500grams in step by step calculator
Answers
Answer:
To calculate 2 3/4 of 500 grams, follow these steps:
1. Convert the mixed number to an improper fraction:
2 3/4 = (2 x 4 + 3)/4 = 11/4
2. Multiply the improper fraction by 500:
11/4 x 500 = (11 x 500)/4 = 2,750/4
3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:
2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2
Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.
Step-by-step explanation:
Given: MO bisects ∠PMN and OM bisects ∠PON Prove: ΔPMO ≅ ΔNMO Statements Reasons 1. MO bisects ∠PMN 2. ∠PMO ≅ ∠NMO 3. MO ≅ MO 1. Given 2. Definition of angle bisector 3. Reflexive property 4. OM bisects ∠PON 5. ∠POM ≅ ∠NOM 6. ΔPMO ≅ ΔNMO 4. Given 5. Definition of angle bisector 6. ?
Answers
From the given statements and reasons, we can deduce that ΔPMO ≅ ΔNMO because; it fulfils the ASA Congruence postulate.
We are given;
1) MO bisects ∠PMN
2) ∠PMO ≅ ∠NMO which means that ∠PMO is congruent to ∠NMO
3) MO ≅ MO
4) OM bisects ∠PON
5) ∠POM ≅ ∠NOM which means that ∠POM is congruent to ∠NOM
6) ΔPMO ≅ ΔNMO
Now, from all the statements given, we can see that two corresponding angles of both ΔPMO and ΔNMO are equal.
We also see that they share a common side which is MO.
Thus, we can say that both triangles have two corresponding sides that are equal and a corresponding included angle that is also equal.
In conclusion, ΔPMO ≅ ΔNMO because it fulfils the ASA Congruence postulate.
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Answer:
1. given
2. definition of angle bisector
3. reflexive property
4. given
5. definition of angle bisector
6. congruent by asa
Step-by-step explanation: